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202021001311221 = 3471791033430453
BaseRepresentation
bin101101111011110010101110…
…000001010011001111110101
3222111022000111221011001120000
4231323302232001103033311
5202434403002313424341
61553355100005301513
760360351512111301
oct5573625601231765
9874260457131500
10202021001311221
1159408697622094
121a7a9034704899
1388956637a6b11
1437c5c23768d01
15185506ab778b6
hexb7bcae0533f5

202021001311221 has 80 divisors (see below), whose sum is σ = 310209533314560. Its totient is φ = 130975730645760.

The previous prime is 202021001311211. The next prime is 202021001311229. The reversal of 202021001311221 is 122113100120202.

202021001311221 is a `hidden beast` number, since 202 + 0 + 210 + 0 + 1 + 31 + 1 + 221 = 666.

It is not a de Polignac number, because 202021001311221 - 237 = 201883562357749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202021001311194 and 202021001311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202021001311229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 469106631 + ... + 469537083.

It is an arithmetic number, because the mean of its divisors is an integer number (3877619166432).

Almost surely, 2202021001311221 is an apocalyptic number.

It is an amenable number.

202021001311221 is a deficient number, since it is larger than the sum of its proper divisors (108188532003339).

202021001311221 is a wasteful number, since it uses less digits than its factorization.

202021001311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431648 (or 431639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 202021001311221 its reverse (122113100120202), we get a palindrome (324134101431423).

The spelling of 202021001311221 in words is "two hundred two trillion, twenty-one billion, one million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 71 79 81 213 237 639 711 1033 1917 2133 3099 5609 5751 6399 9297 16827 27891 50481 73343 81607 83673 151443 220029 244821 430453 454329 660087 734463 1291359 1980261 2203389 3874077 5794097 5940783 6610167 11622231 17382291 30562163 34005787 34866693 52146873 91686489 102017361 156440619 275059467 306052083 444657949 469321857 825178401 918156249 1333973847 2414410877 2475535203 2754468747 4001921541 7243232631 12005764623 21729697893 31570714379 35127977971 36017293869 65189093679 94712143137 105383933913 195567281037 284136429411 316151801739 852409288233 948455405217 2494086435941 2557227864699 2845366215651 7482259307823 22446777923469 67340333770407 202021001311221